A hub matrix theory and applications to wireless communications

Authors:
H. T. Kung;B. W. Suter
Affiliations:
Harvard School of Engineering and Applied Sciences, Harvard University, Cambridge, MA;Harvard School of Engineering and Applied Sciences, Harvard University, Cambridge, MA and US Air Force Research Laboratory, Rome, NY
Venue:
EURASIP Journal on Applied Signal Processing
Year:
2007

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Abstract

This paper considers communications and network systems whose properties are characterized by the gaps of the leading eigenvalues of AHA for a matrix A. It is shown that a sufficient and necessary condition for a large eigen-gap is that A is a "hub" matrix in the sense that it has dominant columns. Some applications of this hub theory in multiple-input and multiple-output (MIMO) wireless systems are presented.